Sin(theta/2) =1/2 , : Write an equation that expresses the value of theta/2 in terms of an appropriate inverse trigonometric expression.
: Write an equation that expresses the value of(0,2pi)

in terms of an appropriate inverse trigonometric expression theta/2.

Part III: On the interval
(0,2pi)
, what values of
theta
does your answer to Part II produce?

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

quit

step-by-step explanation:

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step-by-step explanation:

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